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161641248 = 25310871549
BaseRepresentation
bin10011010001001…
…11001100100000
3102021011020002220
421220213030200
5312340004443
624012311040
74001633166
oct1150471440
9367136086
10161641248
118327350a
1246172480
1327646812
1417679236
15e2cda83
hex9a27320

161641248 has 48 divisors (see below), whose sum is σ = 424972800. Its totient is φ = 53796096.

The previous prime is 161641247. The next prime is 161641261. The reversal of 161641248 is 842146161.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1616412482 = 52255786109995008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (161641243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103578 + ... + 105126.

It is an arithmetic number, because the mean of its divisors is an integer number (8853600).

Almost surely, 2161641248 is an apocalyptic number.

It is an amenable number.

161641248 is an abundant number, since it is smaller than the sum of its proper divisors (263331552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161641248 is a wasteful number, since it uses less digits than its factorization.

161641248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 161641248 is about 12713.8211407900. The cubic root of 161641248 is about 544.7334757191.

The spelling of 161641248 in words is "one hundred sixty-one million, six hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1087 1549 2174 3098 3261 4348 4647 6196 6522 8696 9294 12392 13044 17392 18588 24784 26088 34784 37176 49568 52176 74352 104352 148704 1683763 3367526 5051289 6735052 10102578 13470104 20205156 26940208 40410312 53880416 80820624 161641248